Question

if these two shapes are similar, what is the measure of the missing length a?
32 cm
4 cm
a
6 cm
a = \square centimeters
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Explanation:

Step1: Set up proportion for similar shapes

Since the two shapes are similar, the ratios of corresponding sides are equal. So we have $\frac{32}{4}=\frac{a}{6}$.

Step2: Solve for \(a\)

First, simplify $\frac{32}{4}=8$. Then the equation becomes $8=\frac{a}{6}$. Multiply both sides by 6: \(a = 8\times6 = 48\).

Answer:

48